What is the Least Common Multiple of 22224 and 22232?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 22224 and 22232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22224 and 22232, than apply into the LCM equation.

GCF(22224,22232) = 8
LCM(22224,22232) = ( 22224 × 22232) / 8
LCM(22224,22232) = 494083968 / 8
LCM(22224,22232) = 61760496

Least Common Multiple (LCM) of 22224 and 22232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22224 and 22232. First we will calculate the prime factors of 22224 and 22232.

Prime Factorization of 22224

Prime Factorization of 22232

Now multiplying the highest exponent prime factors to calculate the LCM of 22224 and 22232.

LCM(22224,22232) = 2⁴ × 3¹ × 463¹ × 7¹ × 397¹
LCM(22224,22232) = 61760496